0.3x^2+6x-2=0

Simple and best practice solution for 0.3x^2+6x-2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0.3x^2+6x-2=0 equation: 


Simplifying
0.3x2 + 6x + -2 = 0

Reorder the terms:
-2 + 6x + 0.3x2 = 0

Solving
-2 + 6x + 0.3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.3 the coefficient of the squared term: 

Divide each side by '0.3'.
-6.666666667 + 20x + x2 = 0

Move the constant term to the right:

Add '6.666666667' to each side of the equation.
-6.666666667 + 20x + 6.666666667 + x2 = 0 + 6.666666667

Reorder the terms:
-6.666666667 + 6.666666667 + 20x + x2 = 0 + 6.666666667

Combine like terms: -6.666666667 + 6.666666667 = 0.000000000
0.000000000 + 20x + x2 = 0 + 6.666666667
20x + x2 = 0 + 6.666666667

Combine like terms: 0 + 6.666666667 = 6.666666667
20x + x2 = 6.666666667

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = 6.666666667 + 100

Reorder the terms:
100 + 20x + x2 = 6.666666667 + 100

Combine like terms: 6.666666667 + 100 = 106.666666667
100 + 20x + x2 = 106.666666667

Factor a perfect square on the left side:
(x + 10)(x + 10) = 106.666666667

Calculate the square root of the right side: 10.32795559

Break this problem into two subproblems by setting 
(x + 10) equal to 10.32795559 and -10.32795559.


Subproblem 1
x + 10 = 10.32795559

Simplifying
x + 10 = 10.32795559

Reorder the terms:
10 + x = 10.32795559

Solving
10 + x = 10.32795559

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + x = 10.32795559 + -10

Combine like terms: 10 + -10 = 0
0 + x = 10.32795559 + -10
x = 10.32795559 + -10

Combine like terms: 10.32795559 + -10 = 0.32795559
x = 0.32795559

Simplifying
x = 0.32795559


Subproblem 2
x + 10 = -10.32795559

Simplifying
x + 10 = -10.32795559

Reorder the terms:
10 + x = -10.32795559

Solving
10 + x = -10.32795559

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + x = -10.32795559 + -10

Combine like terms: 10 + -10 = 0
0 + x = -10.32795559 + -10
x = -10.32795559 + -10

Combine like terms: -10.32795559 + -10 = -20.32795559
x = -20.32795559

Simplifying
x = -20.32795559


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.32795559, -20.32795559}

See similar equations:

| (x-2)*(x-2)+(x-9)*(x-9)=(x-11)*(x-11) | | 3*(2x-7)-5(x-8)=-4(x+2) | | 3*(2x-7)-5(x-8)=-4(x-2) | | 90=x+(x+8) | | 6y-54=0 | | 3(2x-7)-5(x-8)=-4(x-2) | | P^4-1=0 | | 7x-12=x+2+2x-3x | | 6(x+6)+2x=92 | | -2(c-5)=28 | | 4c^2-12c+9=0 | | 9x-5x=56 | | a+5a=72 | | x=x-7+x-13 | | 7x^2-9x=0 | | a^2-2ab-15b^2=0 | | -4(x-7)=36 | | g(t)=t^2-2t+6 | | p(x)=2x^2+5x+3 | | 5y^8-125=0 | | 5(s-3)=9 | | 7.7y-4=6.7y-4 | | 5(3z-1)-3=7(z+1) | | .70*x=224 | | 6+Y=6X | | -3(p-9)=-24 | | 5x-2=3(x+6) | | 4a+3=2a+8 | | 9.5m-1-.1m=-8.4+9.4m+74 | | 8x^2+16x-64=0 | | m=2(13) | | 5(x-3)-43=9x-(4x+1) |

Equations solver categories